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Question
Two cells of same emf but different internal resistances r1 and r2 are connected in series with a resistance R. The value of resistance R, for which the potential difference across second cell is zero, is ______.
Options
r2 - r1
r1 - r2
r1
r2
MCQ
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Solution
Two cells of same emf but different internal resistances r1 and r2 are connected in series with a resistance R. The value of resistance R, for which the potential difference across second cell is zero, is r2 - r1.
Explanation:
We have
i = `("E"_"net")/("R"_"net")=(2"E")/("R"+x_1+x_3)`
As. P.d across second cell = 0
⇒ E - ir2 = 0 [∵ V = E - iR]
⇒ E - `(2"Er"_2)/("R"+"r"_1+"r"_2)` = 0
⇒ R + r1 + r2 - 2r3 = 0
⇒ R = r2 - r1
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